

A211609


12 times the total number of smallest parts in all partitions of n, with a(0) = 0.


1



0, 12, 36, 60, 120, 168, 312, 420, 684, 960, 1428, 1932, 2856, 3780, 5280, 7068, 9612, 12576, 16884, 21840, 28788, 37044, 47976, 61104, 78540, 99156, 125832, 157980, 198744, 247560, 309276, 382764, 474552, 584304, 719520, 881076, 1079244, 1314636, 1601268, 1942080, 2354016, 2842116
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OFFSET

0,2


COMMENTS

The product 12spt(n) appears in the formula b(n) = 12spt(n)+(24n1)p(n) which is mentioned in several papers (see Ono's paper, see also Garvan's papers and Garvan's slides in link section). Note that b(n) is A220481(n).
Observation: first 13 terms coincide with the differences between all terms mentioned in a table of special mock Jacobi forms and the first 13 terms of A183011. For the table see DabholkarMurthyZagier paper, appendix A.1, table of Q_M (weight 2 case), M = 6, C_M = 12. See also the table in page 46. Question: do all terms coincide?


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KEYWORD

nonn


AUTHOR



STATUS

approved



